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JEE Main · 2021 · 24 Feb 2021 · Shift 1 · Semiconductors

If an emitter current is changed by 4 mA, the collector current changes by 3.5 mA. The value of

β

will be:

(A)0.5
(B)7✓ Correct
(C)3.5
(D)0.875

Answer: (B)

Solution

The current gain

α

is given by:

α = \frac{Δ I _{C}}{Δ I _{E}} = \frac{3.5}{4} = \frac{7}{8}

The relationship between

β

and

α

is:

β = \frac{α}{1 - α} = \frac{7/8}{1 - 7/8} = \frac{7/8}{1/8} = 7

JEE Main · 2021 · 24 Feb 2021 · Shift 1 · Single correct option

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